An object is taken 1 km deep in sea density of sea
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The bulk modulus of the material is B = 4.9 × 106 Pa
Explanation:
Correct statement:
A spherical body contracts in volume by 0.1 Y. When taken to 500 m deep in sea. Find the bulk modulus material of the body. Given density of water = 103 kgm-3 .
Solution:
Let the bulk modulus be B. The initial volume be V and the final volume is (V)(0.1/100) = 0.001 V
Change in volume is, dV = 0.001 V – V = -0.999 V
Pressure on the body, P = ρgh = (1000 kg/m3)(9.8 m/s^2)(500 m) = 4900000 Pa
Now
B = -P/(dV/V)
B = -4900000/(-0.999 V/V)
B = 4.9 × 106 Pa
The bulk modulus of the material is B = 4.9 × 106 Pa
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